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25680540 = 22351721481
BaseRepresentation
bin110000111110…
…1101010011100
31210022201002010
41201331222130
523033234130
62314231220
7431165244
oct141755234
953281063
1025680540
1113550196
128725510
135421bb2
1435a6b24
1523c40b0
hex187da9c

25680540 has 72 divisors (see below), whose sum is σ = 76435632. Its totient is φ = 6440960.

The previous prime is 25680521. The next prime is 25680541. The reversal of 25680540 is 4508652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25680498 and 25680507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25680541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16600 + ... + 18080.

It is an arithmetic number, because the mean of its divisors is an integer number (1061606).

Almost surely, 225680540 is an apocalyptic number.

25680540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25680540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38217816).

25680540 is an abundant number, since it is smaller than the sum of its proper divisors (50755092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25680540 is a wasteful number, since it uses less digits than its factorization.

25680540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 25680540 is about 5067.5970636979. The cubic root of 25680540 is about 295.0312712230.

The spelling of 25680540 in words is "twenty-five million, six hundred eighty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1481 1734 2890 2962 3468 4335 4443 5780 5924 7405 8670 8886 14810 17340 17772 22215 25177 29620 44430 50354 75531 88860 100708 125885 151062 251770 302124 377655 428009 503540 755310 856018 1284027 1510620 1712036 2140045 2568054 4280090 5136108 6420135 8560180 12840270 25680540